Event-triggered L∞ control for network-based switched linear systems with transmission delay

Abstract This paper investigates the event-triggered L ∞ control for network-based switched linear systems with transmission delay. Necessary samplings of the feedback signal are determined by the improved periodic sampling based event-triggering schemes with extra design parameters, which can further reduce redundant signal transmissions and updates. Moreover, under the state feedback control, a time-delay closed-loop switched system is developed. Particularly, in the developing process an active packet loss technique is given to fully deal with the relationship between the network transmission delay and sampling period. Then by utilizing the piecewise Lyapunov functional method and average dwell time technique, sufficient conditions in terms of linear matrix inequalities (LMIs) are constructed to render the time-delay closed-loop switched system globally uniformly ultimately bounded (GUUB) and having an L ∞ performance. In addition, since the event-triggered instants and switching instants both exist in the system and may stagger with each other, their coupling effect on the stability analysis is clarified. Subsequently, the conditions for finding the parameters of state feedback gains and improved event-triggering schemes are presented. An example is provided to show the effectiveness of the proposed method.

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